What is the Greatest Common Factor of 4865 and 4884?

Greatest common factor (GCF) of 4865 and 4884 is 1.

GCF(4865,4884) = 1

We will now calculate the prime factors of 4865 and 4884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4865 and 4884.

How to find the GCF of 4865 and 4884?

We will first find the prime factorization of 4865 and 4884. After we will calculate the factors of 4865 and 4884 and find the biggest common factor number .

Step-1: Prime Factorization of 4865

Prime factors of 4865 are 5, 7, 139. Prime factorization of 4865 in exponential form is:

4865 = 5¹ × 7¹ × 139¹

Step-2: Prime Factorization of 4884

Prime factors of 4884 are 2, 3, 11, 37. Prime factorization of 4884 in exponential form is:

4884 = 2² × 3¹ × 11¹ × 37¹

Step-3: Factors of 4865

List of positive integer factors of 4865 that divides 4865 without a remainder.

1, 5, 7, 35, 139, 695, 973

Step-4: Factors of 4884

List of positive integer factors of 4884 that divides 4865 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4865 and 4884. The biggest common factor number is the GCF number.
So the greatest common factor 4865 and 4884 is 1.

Also check out the Least Common Multiple of 4865 and 4884